The sum of any set of consecutive odd numbers starting from 1 is a square, and the quantity that is squared is the count of odd numbers in the sum. The latter is easily seen to be a count of the form 1 + 2 + 3 + 4 + ... + n. Visual demonstration that the square of a triangular number equals a sum of cubes.
shock liver A colloquial term for injury to the liver resulting from insufficient blood flow, e.g., in patients who have suffered an episode of severe hypotension. A hallmark of this condition is a sudden and marked elevation in liver enzyme levels, such as alanine aminotransferase (ALT).
Shock may result from trauma, heatstroke, blood loss, an allergic reaction, severe infection, poisoning, severe burns or other causes. When a person is in shock, his or her organs aren't getting enough blood or oxygen. If untreated, this can lead to permanent organ damage or even death.Signs and symptoms of shock vary depending on circumstances and may include: 1  Cool, clammy skin. 2  Pale or ashen skin. 3  Rapid pulse. 4  Rapid breathing. 5  Nausea or vomiting.hen a person is in shock, his or her organs aren't getting enough blood or oxygen. If untreated, this can lead to permanent organ damage or even death. Signs and symptoms of shock vary depending on circumstances and may include: 1  Cool, clammy skin. 2  Pale or ashen skin. 3  Rapid pulse.